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Finding the Fourth Proportional to 21,422.63, 32,128.77 and 8,266.61

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Solution

The fourth proportional to 21,422.63, 32,128.77 and 8,266.61 is: 12,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.63 : 32,128.77 = 8,266.61 : x
  2. Step 2: Convert to fraction form
    21,422.63/32,128.77 = 8,266.61/x
  3. Step 3: Cross multiply
    21,422.63x = 32,128.77 × 8,266.61
  4. Step 4: Simplify right side
    21,422.63x = 265,596,011.37
  5. Step 5: Solve for x
    x = 265,596,011.37/21,422.63
  6. Step 6: Final answer
    x = 12,397.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.